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Solution 4.7b

From Mechanics

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Line 17: Line 17:
<math>\begin{align}
<math>\begin{align}
-
& \mathbf{FR}=
+
& \mathbf{R}=
-
& -24\textrm{.}2\mathbf{i}+134\textrm{.}6\mathbf{j} \ \text{N}\\
+
& 55\textrm{.}8\mathbf{i}+54\textrm{.}6\mathbf{j} \ \text{N}\\
\end{align}</math>
\end{align}</math>
 +
 +
The magnitude of this resultant is
 +
 +
 +
<math>\sqrt{{{\left( 55.8 \right)}^{2}}+{{\left( 54.6 \right)}^{2}}}=78.1\ \text{N}</math>

Revision as of 15:37, 24 March 2010

F1=86.6i+50j N

F2=30.8i+84.6j N

F3=80j N

Summing these vectors give their resultant

R=55.8i+54.6j N

The magnitude of this resultant is


5582+5462=781 N